Morris Mano Edition 3 Exercise 2 Question 4 (Page No. 69)

Question

Reduce the Following Boolean Expressions to the indicated numbers of the literals

1. A’C’ + ABC +AC’  to three literals
2. (X’Y’ + Z’)’ + Z + XY + WZ to three literals
3. A’B(D’ + C’D) + B(A + A’CD) to one literals
4. (A’ + C)(A’ + C’)(A+ B + C’D) to four literals

Answer 1

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Comments

(A’ + C)(A’ + C’)(A+ B + C’D)

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4:(A’ + C)(A’ + C’)(A+ B + C’D)
soln:  (A'A' + A'C' + A'C +CC')(A+B+C'D)
          (A' + A'C' +A'C +0)(A+B+C'D)
          A'(A+B+C'D)
          0+A'B+A'C'D
           A'(B+C'D) ->4Literals